Iterative Perturbation Technique for Solving a Special Magnetohydrodynamics Problem

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2020

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In this study, we use iterative perturbation technique for struggling MHD Jeffery-Hamel flowproblem for some special values of Re and Ha numbers. This problem aroused from the classicalwork by Navier and Stokes and their equations. We exploit Maxwell’s electromagnetism governingequations via reducing them to nonlinear differential equations to reform the main problem. Aftersimplifying the well-known equation, we get a basic problem and we can readily investigate theemerged problem. In order to check the power of the technique, we prove that the results are wellagreed with the numerical solutions. The present graphics prove that perturbation iteration techniquehas high accuracy for different α, Ha and Re numbers.

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